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Simplifying 26.54 + -1k = 0.5(50 + -1k) 26.54 + -1k = (50 * 0.5 + -1k * 0.5) 26.54 + -1k = (25 + -0.5k) Solving 26.54 + -1k = 25 + -0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.5k' to each side of the equation. 26.54 + -1k + 0.5k = 25 + -0.5k + 0.5k Combine like terms: -1k + 0.5k = -0.5k 26.54 + -0.5k = 25 + -0.5k + 0.5k Combine like terms: -0.5k + 0.5k = 0.0 26.54 + -0.5k = 25 + 0.0 26.54 + -0.5k = 25 Add '-26.54' to each side of the equation. 26.54 + -26.54 + -0.5k = 25 + -26.54 Combine like terms: 26.54 + -26.54 = 0.00 0.00 + -0.5k = 25 + -26.54 -0.5k = 25 + -26.54 Combine like terms: 25 + -26.54 = -1.54 -0.5k = -1.54 Divide each side by '-0.5'. k = 3.08 Simplifying k = 3.08
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